1129752 has 96 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 322560.

The previous prime is 1129747. The next prime is 1129757. The reversal of 1129752 is 2579211.

It is an interprime number because it is at equal distance from previous prime (1129747) and next prime (1129757).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15877 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2^1129752 is an apocalyptic number.

1129752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1129752 is an abundant number, since it is smaller than the sum of its proper divisors (2408328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1129752 is a wasteful number, since it uses less digits than its factorization.

1129752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1129752 is about 1062.8979254849. The cubic root of 1129752 is about 104.1504233517.

It can be divided in two parts, 1129 and 752, that added together give a palindrome (1881).

The spelling of 1129752 in words is "one million, one hundred twenty-nine thousand, seven hundred fifty-two".